#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Midpoint on a great circle";

double f_if(float lambda1, float lambda2, float phi1, float phi2) {
        float r22374 = lambda1;
        float r22375 = phi2;
        float r22376 = cos(r22375);
        float r22377 = lambda2;
        float r22378 = r22374 - r22377;
        float r22379 = sin(r22378);
        float r22380 = r22376 * r22379;
        float r22381 = phi1;
        float r22382 = cos(r22381);
        float r22383 = cos(r22378);
        float r22384 = r22376 * r22383;
        float r22385 = r22382 + r22384;
        float r22386 = atan2(r22380, r22385);
        float r22387 = r22374 + r22386;
        return r22387;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r22388 = lambda1;
        double r22389 = phi2;
        double r22390 = cos(r22389);
        double r22391 = lambda2;
        double r22392 = r22388 - r22391;
        double r22393 = sin(r22392);
        double r22394 = r22390 * r22393;
        double r22395 = phi1;
        double r22396 = cos(r22395);
        double r22397 = cos(r22392);
        double r22398 = r22390 * r22397;
        double r22399 = r22396 + r22398;
        double r22400 = atan2(r22394, r22399);
        double r22401 = r22388 + r22400;
        return r22401;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r22402 = lambda1;
        float r22403 = phi2;
        float r22404 = cos(r22403);
        float r22405 = sin(r22402);
        float r22406 = lambda2;
        float r22407 = cos(r22406);
        float r22408 = r22405 * r22407;
        float r22409 = cos(r22402);
        float r22410 = -r22406;
        float r22411 = sin(r22410);
        float r22412 = r22409 * r22411;
        float r22413 = r22408 + r22412;
        float r22414 = r22404 * r22413;
        float r22415 = phi1;
        float r22416 = cos(r22415);
        float r22417 = exp(r22416);
        float r22418 = exp(r22404);
        float r22419 = sin(r22406);
        float r22420 = r22419 * r22405;
        float r22421 = r22407 * r22409;
        float r22422 = r22420 + r22421;
        float r22423 = pow(r22418, r22422);
        float r22424 = r22417 * r22423;
        float r22425 = log(r22424);
        float r22426 = atan2(r22414, r22425);
        float r22427 = r22402 + r22426;
        return r22427;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r22428 = lambda1;
        double r22429 = phi2;
        double r22430 = cos(r22429);
        double r22431 = sin(r22428);
        double r22432 = lambda2;
        double r22433 = cos(r22432);
        double r22434 = r22431 * r22433;
        double r22435 = cos(r22428);
        double r22436 = -r22432;
        double r22437 = sin(r22436);
        double r22438 = r22435 * r22437;
        double r22439 = r22434 + r22438;
        double r22440 = r22430 * r22439;
        double r22441 = phi1;
        double r22442 = cos(r22441);
        double r22443 = exp(r22442);
        double r22444 = exp(r22430);
        double r22445 = sin(r22432);
        double r22446 = r22445 * r22431;
        double r22447 = r22433 * r22435;
        double r22448 = r22446 + r22447;
        double r22449 = pow(r22444, r22448);
        double r22450 = r22443 * r22449;
        double r22451 = log(r22450);
        double r22452 = atan2(r22440, r22451);
        double r22453 = r22428 + r22452;
        return r22453;
}

void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) {
        mpfr_fmod(r, n, d, rmd);
        if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd);
}


static mpfr_t r22454, r22455, r22456, r22457, r22458, r22459, r22460, r22461, r22462, r22463, r22464, r22465, r22466, r22467;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22454);
        mpfr_init(r22455);
        mpfr_init(r22456);
        mpfr_init(r22457);
        mpfr_init(r22458);
        mpfr_init(r22459);
        mpfr_init(r22460);
        mpfr_init(r22461);
        mpfr_init(r22462);
        mpfr_init(r22463);
        mpfr_init(r22464);
        mpfr_init(r22465);
        mpfr_init(r22466);
        mpfr_init(r22467);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22454, lambda1, MPFR_RNDN);
        mpfr_set_d(r22455, phi2, MPFR_RNDN);
        mpfr_cos(r22456, r22455, MPFR_RNDN);
        mpfr_set_d(r22457, lambda2, MPFR_RNDN);
        mpfr_sub(r22458, r22454, r22457, MPFR_RNDN);
        mpfr_sin(r22459, r22458, MPFR_RNDN);
        mpfr_mul(r22460, r22456, r22459, MPFR_RNDN);
        mpfr_set_d(r22461, phi1, MPFR_RNDN);
        mpfr_cos(r22462, r22461, MPFR_RNDN);
        mpfr_cos(r22463, r22458, MPFR_RNDN);
        mpfr_mul(r22464, r22456, r22463, MPFR_RNDN);
        mpfr_add(r22465, r22462, r22464, MPFR_RNDN);
        mpfr_atan2(r22466, r22460, r22465, MPFR_RNDN);
        mpfr_add(r22467, r22454, r22466, MPFR_RNDN);
        return mpfr_get_d(r22467, MPFR_RNDN);
}

static mpfr_t r22468, r22469, r22470, r22471, r22472, r22473, r22474, r22475, r22476, r22477, r22478, r22479, r22480, r22481, r22482, r22483, r22484, r22485, r22486, r22487, r22488, r22489, r22490, r22491, r22492, r22493;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22468);
        mpfr_init(r22469);
        mpfr_init(r22470);
        mpfr_init(r22471);
        mpfr_init(r22472);
        mpfr_init(r22473);
        mpfr_init(r22474);
        mpfr_init(r22475);
        mpfr_init(r22476);
        mpfr_init(r22477);
        mpfr_init(r22478);
        mpfr_init(r22479);
        mpfr_init(r22480);
        mpfr_init(r22481);
        mpfr_init(r22482);
        mpfr_init(r22483);
        mpfr_init(r22484);
        mpfr_init(r22485);
        mpfr_init(r22486);
        mpfr_init(r22487);
        mpfr_init(r22488);
        mpfr_init(r22489);
        mpfr_init(r22490);
        mpfr_init(r22491);
        mpfr_init(r22492);
        mpfr_init(r22493);
}

double f_fm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22468, lambda1, MPFR_RNDN);
        mpfr_set_d(r22469, phi2, MPFR_RNDN);
        mpfr_cos(r22470, r22469, MPFR_RNDN);
        mpfr_sin(r22471, r22468, MPFR_RNDN);
        mpfr_set_d(r22472, lambda2, MPFR_RNDN);
        mpfr_cos(r22473, r22472, MPFR_RNDN);
        mpfr_mul(r22474, r22471, r22473, MPFR_RNDN);
        mpfr_cos(r22475, r22468, MPFR_RNDN);
        mpfr_neg(r22476, r22472, MPFR_RNDN);
        mpfr_sin(r22477, r22476, MPFR_RNDN);
        mpfr_mul(r22478, r22475, r22477, MPFR_RNDN);
        mpfr_add(r22479, r22474, r22478, MPFR_RNDN);
        mpfr_mul(r22480, r22470, r22479, MPFR_RNDN);
        mpfr_set_d(r22481, phi1, MPFR_RNDN);
        mpfr_cos(r22482, r22481, MPFR_RNDN);
        mpfr_exp(r22483, r22482, MPFR_RNDN);
        mpfr_exp(r22484, r22470, MPFR_RNDN);
        mpfr_sin(r22485, r22472, MPFR_RNDN);
        mpfr_mul(r22486, r22485, r22471, MPFR_RNDN);
        mpfr_mul(r22487, r22473, r22475, MPFR_RNDN);
        mpfr_add(r22488, r22486, r22487, MPFR_RNDN);
        mpfr_pow(r22489, r22484, r22488, MPFR_RNDN);
        mpfr_mul(r22490, r22483, r22489, MPFR_RNDN);
        mpfr_log(r22491, r22490, MPFR_RNDN);
        mpfr_atan2(r22492, r22480, r22491, MPFR_RNDN);
        mpfr_add(r22493, r22468, r22492, MPFR_RNDN);
        return mpfr_get_d(r22493, MPFR_RNDN);
}

static mpfr_t r22494, r22495, r22496, r22497, r22498, r22499, r22500, r22501, r22502, r22503, r22504, r22505, r22506, r22507, r22508, r22509, r22510, r22511, r22512, r22513, r22514, r22515, r22516, r22517, r22518, r22519;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22494);
        mpfr_init(r22495);
        mpfr_init(r22496);
        mpfr_init(r22497);
        mpfr_init(r22498);
        mpfr_init(r22499);
        mpfr_init(r22500);
        mpfr_init(r22501);
        mpfr_init(r22502);
        mpfr_init(r22503);
        mpfr_init(r22504);
        mpfr_init(r22505);
        mpfr_init(r22506);
        mpfr_init(r22507);
        mpfr_init(r22508);
        mpfr_init(r22509);
        mpfr_init(r22510);
        mpfr_init(r22511);
        mpfr_init(r22512);
        mpfr_init(r22513);
        mpfr_init(r22514);
        mpfr_init(r22515);
        mpfr_init(r22516);
        mpfr_init(r22517);
        mpfr_init(r22518);
        mpfr_init(r22519);
}

double f_dm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22494, lambda1, MPFR_RNDN);
        mpfr_set_d(r22495, phi2, MPFR_RNDN);
        mpfr_cos(r22496, r22495, MPFR_RNDN);
        mpfr_sin(r22497, r22494, MPFR_RNDN);
        mpfr_set_d(r22498, lambda2, MPFR_RNDN);
        mpfr_cos(r22499, r22498, MPFR_RNDN);
        mpfr_mul(r22500, r22497, r22499, MPFR_RNDN);
        mpfr_cos(r22501, r22494, MPFR_RNDN);
        mpfr_neg(r22502, r22498, MPFR_RNDN);
        mpfr_sin(r22503, r22502, MPFR_RNDN);
        mpfr_mul(r22504, r22501, r22503, MPFR_RNDN);
        mpfr_add(r22505, r22500, r22504, MPFR_RNDN);
        mpfr_mul(r22506, r22496, r22505, MPFR_RNDN);
        mpfr_set_d(r22507, phi1, MPFR_RNDN);
        mpfr_cos(r22508, r22507, MPFR_RNDN);
        mpfr_exp(r22509, r22508, MPFR_RNDN);
        mpfr_exp(r22510, r22496, MPFR_RNDN);
        mpfr_sin(r22511, r22498, MPFR_RNDN);
        mpfr_mul(r22512, r22511, r22497, MPFR_RNDN);
        mpfr_mul(r22513, r22499, r22501, MPFR_RNDN);
        mpfr_add(r22514, r22512, r22513, MPFR_RNDN);
        mpfr_pow(r22515, r22510, r22514, MPFR_RNDN);
        mpfr_mul(r22516, r22509, r22515, MPFR_RNDN);
        mpfr_log(r22517, r22516, MPFR_RNDN);
        mpfr_atan2(r22518, r22506, r22517, MPFR_RNDN);
        mpfr_add(r22519, r22494, r22518, MPFR_RNDN);
        return mpfr_get_d(r22519, MPFR_RNDN);
}

